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Finding the Fourth Proportional to 614.34, 917.71 and 492.84

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Solution

The fourth proportional to 614.34, 917.71 and 492.84 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 917.71 = 492.84 : x
  2. Step 2: Convert to fraction form
    614.34/917.71 = 492.84/x
  3. Step 3: Cross multiply
    614.34x = 917.71 × 492.84
  4. Step 4: Simplify right side
    614.34x = 452,282.96
  5. Step 5: Solve for x
    x = 452,282.96/614.34
  6. Step 6: Final answer
    x = 736.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.